Titlebook: Displaying Modal Logic; Heinrich Wansing Book 1998 Springer Science+Business Media Dordrecht 1998 Cut-elimination theorem.Extension.logic.

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Tarskian Structured Consequence Relations and Functional Completeness,ent-style proof-theoretic semantics, see e.g. [8], [96], [97], [151], [178], and [180]. The idea now is to apply this kind of approach to Gabbay’s [67] notion of a Tarski-type . |~ between structured databases Δ and single formulas .. This concept generalizes the ordinary notion of single-conclusion

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Predicate Logics on Display,logics obtained by adopting van Benthem’s modal perspective on first-order logic are considered. The Gentzen systems for these logics augment Belnap’s display logic, . by introduction rules for the existential and the universal quantifier. These rules for ∀. and ∃. are analogous to the display intro

remission

Appendix, a sequent calculus presentation. Usually, this is a rather fortunate situation. It may happen that certain axiom schemata are characterizable by algebraic or relational properties expressible in an interesting fragment of first-order logic, and that Gentzen-style proof systems lend themselves to au

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Predicate Logics on Display,duction rules for the modal operators □ and ◊ and do not themselves allow the Barcan formula or its converse to be derived. En route from the minimal ‘modal’ predicate logic to full first-order logic, axiomatic extensions are captured by purely structural sequent rules. The chapter has two main aims, namely

SAGE

Book 1998essfully defended at Leipzig University, November 1997. It collects work on proof systems for modal and constructive logics I have done over the last few years. The main concern is display logic, a certain refinement of Gentzen‘s sequent calculus developed by Nuel D. Belnap. This book is far from of